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Finding the Fourth Proportional to 1,728.81, 2,593.37 and 496.19

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Solution

The fourth proportional to 1,728.81, 2,593.37 and 496.19 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.81 : 2,593.37 = 496.19 : x
  2. Step 2: Convert to fraction form
    1,728.81/2,593.37 = 496.19/x
  3. Step 3: Cross multiply
    1,728.81x = 2,593.37 × 496.19
  4. Step 4: Simplify right side
    1,728.81x = 1,286,788.81
  5. Step 5: Solve for x
    x = 1,286,788.81/1,728.81
  6. Step 6: Final answer
    x = 744.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.